Projects | Mamta Saini

Projects

Research Project on PINNs

Supervisor : ASV Ravi Kanth

To bee added

Research Project on SINDy

Supervisor : ASV Ravi Kanth

To bee added

Codes for Numerical Methods in Python

Supervisor : Dr. R.P. Singh and Dr. Harshita Madduri

We developed a comprehensive Python codes for Numerical Methods, designed to solve various mathematical and engineering problems efficiently. These codes includes implementations of root-finding methods, numerical differentiation and integration, interpolation, linear and non-linear system solvers, and numerical solutions of ODEs and PDEs. It features multiple algorithms such as Newton’s Method, Secant Method, Runge-Kutta Methods The package is optimized for performance and accuracy, making it a valuable tool for students, researchers, and professionals in applied mathematics and computational science.

Codes for Finite Difference Methods

Supervisor : Prof. ASV Ravi Kanth

We have developed Python codes using Finite Difference Methods (FDM) to solve ODEs and PDEs efficiently. For parabolic PDEs, we implement FTCS, BTCS, and Crank-Nicholson methods for heat and diffusion problems. For hyperbolic PDEs, we use explicit schemes for wave propagation. For elliptic PDEs, we apply Jacobi, Gauss-Seidel, and SOR methods for steady-state solutions. Using Matplotlib, we visualize results through contour, surface, and time evolution plots, ensuring accuracy and efficiency for researchers and professionals.